13111123013120 has 160 divisors (see below), whose sum is σ = 34485379758720. Its totient is φ = 4741044183040.

The previous prime is 13111123013089. The next prime is 13111123013159. The reversal of 13111123013120 is 2131032111131.

13111123013120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13111123013092 and 13111123013101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3740099 + ... + 6341181.

It is an arithmetic number, because the mean of its divisors is an integer number (215533623492).

Almost surely, 2^{13111123013120} is an apocalyptic number.

13111123013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111123013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17242689879360).

13111123013120 is an abundant number, since it is smaller than the sum of its proper divisors (21374256745600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13111123013120 is a wasteful number, since it uses less digits than its factorization.

13111123013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601296 (or 2601280 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 13111123013120 its reverse (2131032111131), we get a palindrome (15242155124251).

The spelling of 13111123013120 in words is "thirteen trillion, one hundred eleven billion, one hundred twenty-three million, thirteen thousand, one hundred twenty".